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Finding the Fourth Proportional to 251.71, 347.56 and 158.56

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Solution

The fourth proportional to 251.71, 347.56 and 158.56 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.71 : 347.56 = 158.56 : x
  2. Step 2: Convert to fraction form
    251.71/347.56 = 158.56/x
  3. Step 3: Cross multiply
    251.71x = 347.56 × 158.56
  4. Step 4: Simplify right side
    251.71x = 55,107.85
  5. Step 5: Solve for x
    x = 55,107.85/251.71
  6. Step 6: Final answer
    x = 218.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.